Richie's HEJI extensions: Difference between revisions
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included example where I use these extensions |
m adding notation calculator link |
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File:Harmonic Series Scales - 002.jpg|Harmonic series scales from 36:72 to 48:96 | File:Harmonic Series Scales - 002.jpg|Harmonic series scales from 36:72 to 48:96 | ||
</gallery> | </gallery> | ||
== External links == | |||
* [http://notation.richiegreene.com/ notation.richiegreene.com] | |||
[[Category:Notation]] | [[Category:Notation]] | ||
[[Category:Helmholtz–Ellis notation]] | [[Category:Helmholtz–Ellis notation]] | ||
Latest revision as of 02:12, 16 May 2026
Richie's HEJI extensions are a set of 9 pairs of accidentals, designed by richie, that extend Helmholtz–Ellis notation's accidentals from the 47-limit to the 89-limit. These allow the notation of just intonation intervals with much higher prime factors, which are encountered relatively often with some approaches to JI such as primodality and music making use of isoharmonic chords.
These accidentals are available as an OpenType font (see File:HEJI fonts.zip)
The harmonic series scales from the gallery below are also available as a Dorico template (see File:Harmonic Series Scales.zip).
| descending | ascending | prime | ratio | otonal alteration (±) | cent deviation |
|---|---|---|---|---|---|
 |
 |
53 | 53/54 | - | 32.4 |
 |
 |
59 | 236/243 | - | 50.6 |
 |
 |
61 | 244/243 | + | 7.1 |
 |
 |
67 | 2144/2187 | - | 34.4 |
 |
 |
71 | 71/72 | - | 24.2 |
 |
 |
73 | 73/72 | + | 23.9 |
 |
 |
79 | 79/81 | - | 43.3 |
 |
 |
83 | 249/256 | - | 48.0 |
 |
 |
89 | 712/729 | - | 40.9 |
Gallery
-
Harmonic series scales from 26:52 to 34:68 -
Harmonic series scales from 36:72 to 48:96
